Admittedly, I do not understand this. Is the experiment referenced above claiming that it can predict the future, so to speak, of the photons by observing then erasing the measurement information of the pattern of a photon, or are they saying they can cause the photon to act in a way they couldn’t before (i.e. the double slit) ?
Is this about reading information before it happens or causality (or neither or both?)
There are several quantum phenomena which are mysterious in their interpretation (the interpretation belongs to metaphysics, not science, cause the interpretations are all consistent with the experimental results). As Richard Feynmann said, “anyone who says he understands quantum mechanics, doesn’t”.(that’s a paraphrase, since I can’t find the original quotation.) Here are some websites that do a good job (in not too technical language) of explaining the quantum eraser and/or delayed choice experiments. en.wikipedia.org/wiki/Delayed_choice_quantum_eraser
note: there is a link at the bottom of this wikipedia article to “retrocausality”, which is part of your question. lifesci.sussex.ac.uk/home/John_Gribbin/quantum.htm
this is a good, non-technical (no diagrams) explanation.
I have (in another post) talked about Raymond Chiao’s interpretation of quantum eraser/delayed choice experiments: a Neo-Berkeleyan view that the observer is required to detect reality, and that the ultimate observer is God, who observes the universe. see
the thread “God, the observer, continually creates the universe.”
Hope this is helpful.